1000100110221 has 20 divisors (see below), whose sum is σ = 1507682929500. Its totient is φ = 660616580736.

The previous prime is 1000100110193. The next prime is 1000100110223. The reversal of 1000100110221 is 1220110010001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 253526348196 + 746573762025 = 503514^2 + 864045^2 .

It is not a de Polignac number, because 1000100110221 - 2¹⁷ = 1000099979149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100110223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56628396 + ... + 56646053.

It is an arithmetic number, because the mean of its divisors is an integer number (75384146475).

Almost surely, 2^{1000100110221} is an apocalyptic number.

It is an amenable number.

1000100110221 is a deficient number, since it is larger than the sum of its proper divisors (507582819279).

1000100110221 is a wasteful number, since it uses less digits than its factorization.

1000100110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113274570 (or 113274561 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000100110221 its reverse (1220110010001), we get a palindrome (2220210120222).

The spelling of 1000100110221 in words is "one trillion, one hundred million, one hundred ten thousand, two hundred twenty-one".